Search a number
-
+
10134134144 = 27233442301
BaseRepresentation
bin10010111000000101…
…01001110110000000
3222011021011100120122
421130002221312000
5131223314243034
64353333355412
7506063501411
oct113402516600
928137140518
1010134134144
1143304aaa82
121b69a98b68
13c567228a4
146c1cbb808
153e4a5662e
hex25c0a9d80

10134134144 has 32 divisors (see below), whose sum is σ = 21066888240. Its totient is φ = 4846758400.

The previous prime is 10134134137. The next prime is 10134134147. The reversal of 10134134144 is 44143143101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×101341341442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134134147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1718207 + ... + 1724094.

Almost surely, 210134134144 is an apocalyptic number.

It is an amenable number.

10134134144 is an abundant number, since it is smaller than the sum of its proper divisors (10932754096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10134134144 is an equidigital number, since it uses as much as digits as its factorization.

10134134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442338 (or 3442326 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10134134144 its reverse (44143143101), we get a palindrome (54277277245).

The spelling of 10134134144 in words is "ten billion, one hundred thirty-four million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 3442301 6884602 13769204 27538408 55076816 79172923 110153632 158345846 220307264 316691692 440614528 633383384 1266766768 2533533536 5067067072 10134134144